Home / 177,646,748.06-396,140,180.44

Finding the Third Proportional to 177,646,748.06 and 396,140,180.44

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Solution

The third proportional to 177,646,748.06 and 396,140,180.44 is: 883,365,692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,646,748.06 : 396,140,180.44 = 396,140,180.44 : x
  2. Step 2: Convert to fraction form
    177,646,748.06/396,140,180.44 = 396,140,180.44/x
  3. Step 3: Cross multiply
    177,646,748.06x = 396,140,180.44 × 396,140,180.44
  4. Step 4: Simplify right side
    177,646,748.06x = 156,927,042,557,055,072
  5. Step 5: Solve for x
    x = 156,927,042,557,055,072/177,646,748.06
  6. Step 6: Final answer
    x = 883,365,692.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.